Researchers asked
100
families whether or not they were homeowners and how many cars they had. Their responses are summarized in the following table.
No car or one car Two or more cars
Homeowner 8 37
Not a homeowner 20 35
(a) What percentage of the families are homeowners?
%
(b) What percentage of the families have two or more cars?
%
(a) Percentage of homeowners = (number of homeowners / total number of families) x 100 = ((8+37) / 100) x 100 = 45%
(b) Percentage of families with two or more cars = ((37+35) / 100) x 100 = 72%
To find the percentage of families that are homeowners, we need to calculate the total number of homeowner families and divide it by the total number of families interviewed.
The total number of homeowner families is the sum of the number of homeowner families with no car or one car and the number of homeowner families with two or more cars, which is 8 + 37 = 45.
The total number of families interviewed is the sum of all the entries in the table, which is 8 + 37 + 20 + 35 = 100.
Therefore, the percentage of families that are homeowners is (45/100) x 100% = 45%.
To find the percentage of families that have two or more cars, we need to calculate the total number of families with two or more cars and divide it by the total number of families interviewed.
The total number of families with two or more cars is the sum of the number of homeowner families with two or more cars and the number of non-homeowner families with two or more cars, which is 37 + 35 = 72.
Therefore, the percentage of families that have two or more cars is (72/100) x 100% = 72%.